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Simplifying 7x + 3 = 6[x + -1] + 9 Reorder the terms: 3 + 7x = 6[x + -1] + 9 Reorder the terms: 3 + 7x = 6[-1 + x] + 9 3 + 7x = [-1 * 6 + x * 6] + 9 3 + 7x = [-6 + 6x] + 9 Reorder the terms: 3 + 7x = -6 + 9 + 6x Combine like terms: -6 + 9 = 3 3 + 7x = 3 + 6x Add '-3' to each side of the equation. 3 + -3 + 7x = 3 + -3 + 6x Combine like terms: 3 + -3 = 0 0 + 7x = 3 + -3 + 6x 7x = 3 + -3 + 6x Combine like terms: 3 + -3 = 0 7x = 0 + 6x 7x = 6x Solving 7x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7x + -6x = 6x + -6x Combine like terms: 7x + -6x = 1x 1x = 6x + -6x Combine like terms: 6x + -6x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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